Question

how can you prove that the following triangles are congruent?
o sss
o sas
o asa
o aas
o hl
o cannot be determined

Explanation:

Step1: Identify right - angled triangles

The two triangles are right - angled as indicated by the right - angle symbols.

Step2: Identify congruent sides

The hypotenuse (the longest side) is common to both triangles, and one of the legs of each triangle is marked congruent.

Step3: Recall congruence criterion

The Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and a leg of one right - triangle are congruent to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent.

Answer:

HL